Abstract
The theory of didactical situations (TDS) is a framework for experimental research into the dynamics of mathematics teaching. At face value it may appear rather distant from lesson study (LS), which is presented (in the West) as a more or less unique format for teachers’ professional development. In this chapter, we argue that at least two important connections could further both scholars’ and teachers’ work with lesson study. First, LS involves sharing and construction of teacher knowledge about the complex dynamics of the mathematics classroom and its dependency on the design of the lesson (materializing in the lesson plan). TDS offers a useful set of vocabulary and models for the researchers’ analysis of the lesson’s design and dynamics, and with appropriate transposition to the needs of teachers, it might also contribute to the precision of both lesson plan and teacher reflections before and after lessons. Secondly, LS involves a sequence of learning situations for the teachers, with the research lesson at the centre. TDS can be adapted to analyse these learning situations with explicit categories and models. This could contribute towards a more scientific viewpoint on lesson study and, in particular help, answer questions like the following: what is the role of different components of lesson study? How do they interact? What are the effects of repeating research lessons? In this chapter we will elaborate the above theoretical potentials and illustrate them by examples from the doctoral project of the first author.
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References
Bahn, J. (2018). Inquiry based mathematics education and lesson study: Teachers’ inquiry based learning about inquiry based teaching (Unpublished PhD dissertation), University of Copenhagen.
Becker, J. P., & Shimada, S. (1997). The open-ended approach: A new proposal for teaching mathematics. Reston: National Council of Teachers of Mathematics.
Brousseau, G. (1997). Theory of didactical situations in mathematics. Dordrecht: Kluwer.
Fujii, H. (2014). Implementing Japanese lesson study in foreign countries: Misconceptions revealed. Mathematics Teacher Education and Development, 16(1), 65–83.
Hersant, M., & Perrin-Glorian, M. (2005). Characterization of an ordinary teaching practice with the help of the theory of didactical situations. Educational Studies in Mathematics, 59, 113–151.
Huang, R., Fang, Y., & Chen, X. (Eds.). (2017). Theory and practice of Chinese lesson study and its adaption in other countries [Special Issue]. International Journal for Lesson and Learning Studies, 6(4).
Isoda, M. (2015). The science of lesson study in the problem solving approach. In M. Imprashita, M. Isoda, P. Wang-Iverson, & B. Har Yeap (Eds.), Lesson study: Challenges in mathematics education (pp. 81–108). Singapore: World Scientific.
Isoda, M., Stephens, M., Ohara, Y., & Miyakawa, T. (Eds.). (2007). Japanese lesson study in mathematics: Its impact, diversity and potential for educational development. Singapore: World Scientific.
Lakatos, I. (1970). Falsification and the methodology of scientific research programmes. In I. Lakatos & A. Musgrave (Eds.), Criticism and the growth of knowledge (pp. 91–195). Cambridge: Cambridge University Press.
Miyakawa, T., & Winsløw, C. (2009). Didactical designs for students’ proportional reasoning. Educational Studies in Mathematics, 72(2), 199–218.
Miyakawa, T., & Winsløw, C. (2018). Paradidactical infrastructure for sharing and documenting mathematics teacher knowledge: A case study of “practice research” in Japan. Journal of Mathematics Teacher Education. https://doi.org/10.1007/s10857-017-9394-y.
Mogensen, A. (2011). Point-driven mathematics teaching: Studying and intervening in Danish classrooms (PhD dissertation), Roskilde University. Retrieved from http://milne.ruc.dk/imfufatekster/pdf/484web.pdf. (Feb 5, 2018).
Nohda, N. (1995). Teaching and evaluating using 'Open-ended problems in classroom. Zentralblatt für Didaktik der Mathematik, 27(2), 57–60.
Nohda, N. (2000). Teaching by open-approach method in Japanese mathematics classroom. Proceeding of the 24th conference of the international group for the psychology of mathematics education (Vol. 1, pp. 39–54). Hiroshima: Hiroshima University.
Perrin-Glorian, M. -J. (2008). From producing optimal teaching to analysing usual classroom situations. Development of a fundamental concept in the theory of didactical situations: the notion of milieu. Retrieved from https://www.unige.ch/math/EnsMath/Rome2008/WG5/Papers/PERRIN.pdf. (Feb 5, 2018).
Quaresma, M., Winsløw, C., Clivaz, S., da Ponte, J., Ní Shúilleabháin, A., & Takahashi, A. (Eds.). (2018). Mathematics lesson study around the world: Theoretical and methodological issues. New York: Springer.
Sierpinska, A. (2007). I need the teacher to tell me if I am right or wrong. Proceedings of the 31st conference of the international group for the psychology of mathematics education, Seoul, South Korea, July 8–13, 2007 (Vol. 1 pp. 45–64).
Van den Heuvel-Panhuizen, M., & Treffers, A. (2009). Mathe-didactical reflections on youngchildren’s understanding and application of subtraction-related principles. Mathematical Thinking and Learning, 11(1–2), 102–112.
Watanabe, T., Takahashi, A., & Yoshida, M. (2008). Kyozaikenkyu: A critical step for conducting effective lesson study and beyond. In F. Arbaugh & P. M. Taylor (Eds.), Inquiry into mathematics teacher education (Association of Mathematics Teacher Educators (AMTE) monograph series) (Vol. 5, pp. 131–142). San Diego: Association of Mathematics Teacher Educators.
Winsløw, C., Bahn, J., & Rasmussen, K. (2018). Theorizing lesson study: Two related frameworks and two Danish case studies. In M. Quaresma, C. Winsløw, S. Clivaz, J. da Ponte, A. Ní Shúilleabháin, & A. Takahashi (Eds.), Mathematics lesson study around the world. ICME-13 monographs. Cham: Springer.
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Bahn, J., Winsløw, C. (2019). Doing and Investigating Lesson Study with the Theory of Didactical Situations. In: Huang, R., Takahashi, A., da Ponte, J.P. (eds) Theory and Practice of Lesson Study in Mathematics. Advances in Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-04031-4_5
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